In adding Fraction it is suitable to adjust both fractions to a common or equal denominator. The common denominator you can calculate as the least common multiple of both denominators are (3,5) is the LCM.
Solution:
[tex] \frac{2}{3} + \frac{1}{5} = \frac{2.5}{3.5} + \frac{1.3}{5.3} = \frac{10}{15} + \frac{3}{15} = \frac{10 + 5}{15} = \frac{13}{15} [/tex]
